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Solution for 101 is what percent of 87:

101:87*100 =

(101*100):87 =

10100:87 = 116.09

Now we have: 101 is what percent of 87 = 116.09

Question: 101 is what percent of 87?

Percentage solution with steps:

Step 1: We make the assumption that 87 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={87}.

Step 4: In the same vein, {x\%}={101}.

Step 5: This gives us a pair of simple equations:

{100\%}={87}(1).

{x\%}={101}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{87}{101}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{101}{87}

\Rightarrow{x} = {116.09\%}

Therefore, {101} is {116.09\%} of {87}.

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Solution for 87 is what percent of 101:

87:101*100 =

(87*100):101 =

8700:101 = 86.14

Now we have: 87 is what percent of 101 = 86.14

Question: 87 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={101}.

Step 4: In the same vein, {x\%}={87}.

Step 5: This gives us a pair of simple equations:

{100\%}={101}(1).

{x\%}={87}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{101}{87}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{87}{101}

\Rightarrow{x} = {86.14\%}

Therefore, {87} is {86.14\%} of {101}.